As well as my own department, I am contracted to teach and train several other LEO departments. I train recruits right out of the academy, as well as advanced training/tactics and supervising quarterly and yearly qualifications.
In my experiences, many LEO are simply not gun people. They carry one as a tool of the job, and have adequate-only proficiency. Many only shoot because they have to, not want to. The ones that excel, are the ones that book time at the range at the end of shift, and schedule time to shoot with each other during off-shift times.
I mandate a weekly practice session with my team - it is not optional. I don't use, and don't believe in a timer for LEO purposes. I am more concerned with seeing measurable and repeatable increases in accuracy rather than speed, over a period of time. Speed comes with practice and I don't believe there's a lot of merit in using a timer from a LEO-training perspective. I am more inclined to measure group sizes rather than split times, as a scorecard of proficiency and improvement.
In addition to shooting, much of my training involves tactical reloads, malf clearance drills, and low-light tactics. But when it comes to strictly shooting, cops like "fun" shooting, just as much as anyone. I'll set up courses of fire that have bowling pins, poppers, balloons and other reactive targets. I find that there is more motivation to shoot at a reactive target, rather than the "standard" silhouette variety. Attention levels tend to remain higher, and practice sessions tend to last longer and be more result-oriented when the activity is interesting.
Also, I set up different stations that require a different stance at each one. Kneeling, sitting, prone, strong and weak side barricades, etc.
I have also made myself available by appointment for one-on-one shooting and instruction. You'd be surprised how many officers are reluctant to go to the range with a bunch of their squad, but gladly shoot if there is no pressure and anxiety of "watching" eyes from their associates. I find that female officers in particular are more inclined to shoot more, if there isn't a bunch of macho testosterone around to compete with.
I also end most range sessions with a best-target-of-the-night award. This is strictly a "best group wins" test on a standard bullseye target. At 10 meters, everyone must shoot 4 rounds, perform a tactical reload, fire 4 more rounds, tac-reload the previous mag, and then empty that mag to slide lock. Then load the second half-empty mag once more and shoot that to slide lock. No shot timers, and accuracy is all that matters. The best center-to-center group of two full mags wins a gift certificate (Home Depot, etc.), or a dinner-for-two voucher, or seasonal gifts.
Make it fun, make it interesting, and LEOs will want to practice. And that's really what it's all about. With practice comes proper weapons manipulation, muscle memory, and speed. But always accuracy first. YMMV.